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well alright this is an attempt to demystify logarithms really quickly using something called the circle of logs and Ive actually not seen this in a text book but a colleague of mine showed me this and I thought it was that was great that was brilliant so what were talking about if we have a logarithm so like lets say we have a log base I dont know three of 70 and that equals x lets say we can talk about a lot of things with this we could talk about the change of base formula to actually figure out what this is but just into converting this into an exponential function is kind of difficult for some students seeing what this actually is doing and using the circle of logs we can we can see that so if I wanted to convert this into an exponential function now this now will do it i look at the base first of the base is right here this smaller one so its this and i kind of draw this circle with arrows all right this is where the circle part comes from kind of goes like this so three to